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Determination of system-matrices of linear continuous-time multivariable systems from discrete-time models

Determination of system-matrices of linear continuous-time multivariable systems from discrete-time models

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It is shown that the computed system matrix for a continuous-time multivariable system may have the imaginary parts of its eigenvalues shifted from their true values when the matrix is determined from a discrete-time model. The same type of eigenvalue shift also can occur if a kth root of a matrix is used in the system identification. A numerical example is given to show that either predicted eigenvalue shift can occur. A bound on the sampling interval is suggested to avoid eigenvalue shifts.

References

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      • V. Feliu , J.A. Cerrada , C. Cerrada . An algorithm to compute the continuous state model from its equivalent discrete model. Control-Theory and Advanced Technology , 231 - 241
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